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What Is The Shape With 10 Sides Called?

10sided Polygon ClipArt ETC
10sided Polygon ClipArt ETC from etc.usf.edu

Geometry is a subject that deals with shapes and figures. Every shape has its unique features, including the number of sides and angles. In this article, we will discuss a shape that has ten sides and its name. So, let's dive in!

What is a Polygon?

A polygon is a closed figure with straight sides. It is a two-dimensional shape that has three or more sides. Polygons come in different shapes and sizes, such as triangles, squares, rectangles, and pentagons.

What is a Decagon?

A decagon is a ten-sided polygon. It is a regular polygon, which means all its sides and angles are equal. A decagon has ten vertices, ten sides, and ten internal angles. The sum of the interior angles of a decagon is 1440 degrees.

Types of Decagons

There are two types of decagons, namely regular and irregular decagons. A regular decagon has ten equal sides and angles, while an irregular decagon has sides and angles of different lengths and measures.

Examples of Decagons

Decagons can be found in different places, such as in nature, art, and architecture. Some examples of decagons in nature include starfruit, some sea urchins, and some starfish. In art, decagons can be seen in Islamic geometric patterns and in the design of some mandalas. In architecture, the Washington Monument in the United States is shaped like a decagon.

How to Calculate the Area of a Decagon?

The area of a regular decagon can be calculated using the following formula:

  • Area = (5/4) x (side length)^2 x √(5 + 2√5)
  • Where the side length is the length of each side of the decagon.

    How to Calculate the Perimeter of a Decagon?

    The perimeter of a decagon can be calculated by adding the length of all its sides. For a regular decagon, the formula to calculate the perimeter is:

  • Perimeter = 10 x side length
  • Where the side length is the length of each side of the decagon.

    Real-Life Applications of Decagons

    Decagons have several applications in real life, such as in architecture and engineering. In architecture, decagons can be used to design buildings, such as the Washington Monument in the United States. In engineering, decagons can be used to design gears, bolts, and nuts.

    Conclusion

    In conclusion, a shape with ten sides is called a decagon. It is a regular polygon with ten equal sides and angles. Decagons can be found in nature, art, and architecture. They have several real-life applications, such as in architecture and engineering. Knowing the properties and applications of different shapes is essential in geometry and can help in various fields.

    So, that's all about decagon. We hope you enjoyed reading this article and learned something new today!

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